How to cure myopia?

Depends on age: There is some information that use of certain eyedrops during childhood may be able to slow progression of, but not cure, myopia. After age 21, with stable readings, one can consider laser refractive surgery (i.e. Lasik or prk) if the affected individual does not want to wear glasses or contact lenses to correct the myopia. Myopic eyes are at higher risk for glaucoma and retinal detachment.

Yes: Laser vision correction cures myopia. Glasses and contacts lenses treat it.